Framework of TAZ_OPT Model for Ambulance Location and Allocation Problem
Our study is concerned with the development of an Emergency Medical Services (EMS) ambulance location and allocation model called the Time-based Ambulance Zoning Optimization Model (TAZ_OPT). This paper presents the framework of the study. The model is formulated using the goal programming (GP), where the goals are to determine the satellite locations of ambulances and the number of ambulances to be allocated at these locations. The model aims at maximizing the expected demand coverage based on probability of reaching the emergency location within targetted time, and minimizing the ambulance busyness likelihood value. Among the benefits of the model is the increased accessibility and availability of ambulances, thus, enhanced quality of the EMS ambulance services.
[1] Z.A. Zaharudin, A. Shuib, A.M. Shahidin and N.A. Mohd Nordin,
"A goal programming model for ambulance location problem - a
preliminary study," Proceeding Seminar Kebangsaan Sains
Matematik 17, 2009, pp 463-469.
[2] C.R. Toregas, R. Swain, C.S. ReVelle and L. Bergman, "The
location of emergency service facilities," Operations Research 19,
1971, pp. 1363-1373.
[3] R.L. Church and C.S. ReVelle, "The maximal covering location
problem," Papers of the Regional Science Association, Vol. 32,
1974, pp. 101-118.
[4] C. ReVelle and K. Hogan, "A reliability-constrained siting model
with local estimates of busy fractions," Environment and Planning
B: Planning and Design, Vol. 15, 1988, pp. 143-152.
[5] M.O. Ball and L.F. Lin, "A reliability model applied to emergency
service vehicle location," Operations Research, Vol. 41, 1993, pp.
18-36.
[6] D.M. Shiah and S.W. Chen, "Ambulance allocation capacity
model," The 9th International Conference on e-Health
Networking, Application and Services, pp. 40-45 , 19 - 22 June
2007.
[7] V. Marianov and C.S. ReVelle, "The queuing probabilistic
location set covering problem and some extensions," Socio-
Economic Planning Sciences, Vol. 28, 1994, pp. 167-178.
[8] M.S. Daskin, "A maximum expected covering location model:
formulation, properties and heuristic solution," Transportation
Science, Vol. 17, 1983, pp. 48-68.
[9] C.S. ReVelle and K. Hogan, "The maximum availability location
problem," Transportation Science, Vol. 23, 1989, pp. 192-200.
[10] O.I. Alsalloum and G.K. Rand, "Extension to emergency vehicle
location model," Computers and Operation Research, Vol.33,
2006, pp. 2725 - 2743.
[11] P. Sorensen and R. Church, "Integrating expected coverage and
local reliability for emergency medical services location problem,"
Socio-Economic Planning Sciences, Vol. 44, Issue 1, March 2010,
pp. 8 - 18.
[12] D.F. Jones and M. Tamiz, "Goal programming in the period 1900-
2000," In Multiple Criteria Optimization: State of the Art
Annotated Bibliographic Surveys, M. Ehrgott and X. Gandibleux,
Eds. Kluwer Academic Publishers, Boston, MA, 2002, pp. 129 -
170.
[13] J.K. Sharma and M.M. Sharma, "On mixed integer solution to
goal programming problem," Indian Journal Pure Application
Math., Vol. 11(3), 1979, pp.312 - 320.
[14] C. Romero, Handbook of critical issues in goal programming.
Oxford, UK: Pergamon Press, 1991.
[15] M.A. Badri, A.K. Mortagy and C.A. Alsayed, "A multi-objective
model for locating fire stations," European Journal of Operational
Research, Vol. 110, 1998, pp. 243 - 260 .
[16] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "An application of
the Dijkstra-s algorithm in the ambulance dispatching and routing,"
Proceeding Seminar Kebangsaan Matematik & Masyarakat 2008,
(2008a). pp. 222-231.
[17] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "Finding the
quickest time route using the Dijkstra-s algorithm," Prosiding
Seminar Kebangsaan Sains Matematik ke-16, 2008, Kota Bharu,
Kelantan, (2008b).
[18] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "Determining the
quickest time route for the developed road network using
Dijkstra-s algorithm: the HTAR case study," Proceedings in The
Second International Conference on Mathematics and Natural
Sciences 2008, Institut Teknologi Bandung, Indonesia, (2008c).
[19] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "Modelling the
clustered travel times for the road network of the emergency
medical services ambulances," Proceedings in the International
Conference on Science & Technology: Applications in Industry
and Education, Universiti Teknologi MARA, Penang, 12 - 13
December 2008, (2008d).
[20] A. Shuib, N.A. Mohd. Nordin, R. Ismail, A.I. Mohamad, S.A. Ishak,
"Simulation of Response Time of the Emergency Medical Services
Ambulances using Clustered Travel Times Model". The 2nd
International Conference on Mathematical Modelling and
Computation & The 5th East Asia SIAM Conference, Universiti
Brunei Darussalam, Brunei, 8 - 11 June 2009.
[1] Z.A. Zaharudin, A. Shuib, A.M. Shahidin and N.A. Mohd Nordin,
"A goal programming model for ambulance location problem - a
preliminary study," Proceeding Seminar Kebangsaan Sains
Matematik 17, 2009, pp 463-469.
[2] C.R. Toregas, R. Swain, C.S. ReVelle and L. Bergman, "The
location of emergency service facilities," Operations Research 19,
1971, pp. 1363-1373.
[3] R.L. Church and C.S. ReVelle, "The maximal covering location
problem," Papers of the Regional Science Association, Vol. 32,
1974, pp. 101-118.
[4] C. ReVelle and K. Hogan, "A reliability-constrained siting model
with local estimates of busy fractions," Environment and Planning
B: Planning and Design, Vol. 15, 1988, pp. 143-152.
[5] M.O. Ball and L.F. Lin, "A reliability model applied to emergency
service vehicle location," Operations Research, Vol. 41, 1993, pp.
18-36.
[6] D.M. Shiah and S.W. Chen, "Ambulance allocation capacity
model," The 9th International Conference on e-Health
Networking, Application and Services, pp. 40-45 , 19 - 22 June
2007.
[7] V. Marianov and C.S. ReVelle, "The queuing probabilistic
location set covering problem and some extensions," Socio-
Economic Planning Sciences, Vol. 28, 1994, pp. 167-178.
[8] M.S. Daskin, "A maximum expected covering location model:
formulation, properties and heuristic solution," Transportation
Science, Vol. 17, 1983, pp. 48-68.
[9] C.S. ReVelle and K. Hogan, "The maximum availability location
problem," Transportation Science, Vol. 23, 1989, pp. 192-200.
[10] O.I. Alsalloum and G.K. Rand, "Extension to emergency vehicle
location model," Computers and Operation Research, Vol.33,
2006, pp. 2725 - 2743.
[11] P. Sorensen and R. Church, "Integrating expected coverage and
local reliability for emergency medical services location problem,"
Socio-Economic Planning Sciences, Vol. 44, Issue 1, March 2010,
pp. 8 - 18.
[12] D.F. Jones and M. Tamiz, "Goal programming in the period 1900-
2000," In Multiple Criteria Optimization: State of the Art
Annotated Bibliographic Surveys, M. Ehrgott and X. Gandibleux,
Eds. Kluwer Academic Publishers, Boston, MA, 2002, pp. 129 -
170.
[13] J.K. Sharma and M.M. Sharma, "On mixed integer solution to
goal programming problem," Indian Journal Pure Application
Math., Vol. 11(3), 1979, pp.312 - 320.
[14] C. Romero, Handbook of critical issues in goal programming.
Oxford, UK: Pergamon Press, 1991.
[15] M.A. Badri, A.K. Mortagy and C.A. Alsayed, "A multi-objective
model for locating fire stations," European Journal of Operational
Research, Vol. 110, 1998, pp. 243 - 260 .
[16] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "An application of
the Dijkstra-s algorithm in the ambulance dispatching and routing,"
Proceeding Seminar Kebangsaan Matematik & Masyarakat 2008,
(2008a). pp. 222-231.
[17] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "Finding the
quickest time route using the Dijkstra-s algorithm," Prosiding
Seminar Kebangsaan Sains Matematik ke-16, 2008, Kota Bharu,
Kelantan, (2008b).
[18] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "Determining the
quickest time route for the developed road network using
Dijkstra-s algorithm: the HTAR case study," Proceedings in The
Second International Conference on Mathematics and Natural
Sciences 2008, Institut Teknologi Bandung, Indonesia, (2008c).
[19] N. A. Mohd Nordin, A. Shuib, and R. Ismail, "Modelling the
clustered travel times for the road network of the emergency
medical services ambulances," Proceedings in the International
Conference on Science & Technology: Applications in Industry
and Education, Universiti Teknologi MARA, Penang, 12 - 13
December 2008, (2008d).
[20] A. Shuib, N.A. Mohd. Nordin, R. Ismail, A.I. Mohamad, S.A. Ishak,
"Simulation of Response Time of the Emergency Medical Services
Ambulances using Clustered Travel Times Model". The 2nd
International Conference on Mathematical Modelling and
Computation & The 5th East Asia SIAM Conference, Universiti
Brunei Darussalam, Brunei, 8 - 11 June 2009.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:62267", author = "Adibah Shuib and Zati Aqmar Zaharudin", title = "Framework of TAZ_OPT Model for Ambulance Location and Allocation Problem", abstract = "Our study is concerned with the development of an Emergency Medical Services (EMS) ambulance location and allocation model called the Time-based Ambulance Zoning Optimization Model (TAZ_OPT). This paper presents the framework of the study. The model is formulated using the goal programming (GP), where the goals are to determine the satellite locations of ambulances and the number of ambulances to be allocated at these locations. The model aims at maximizing the expected demand coverage based on probability of reaching the emergency location within targetted time, and minimizing the ambulance busyness likelihood value. Among the benefits of the model is the increased accessibility and availability of ambulances, thus, enhanced quality of the EMS ambulance services.
", keywords = "Optimization, Ambulance Location, Location facilities.", volume = "4", number = "12", pages = "1496-6", }
